Compare 2/27 and 8/14
2/27 is smaller than 8/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 14 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
2/27 = 2 × 14/27 × 14 = 28/378 - Likewise, for the 2nd fraction, since 14 × 27 = 378,
8/14 = 8 × 27/14 × 27 = 216/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 28/378 < 216/378 or 2/27 < 8/14
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